LCM of 415, 522, 605, 288, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 415, 522, 605, 288, 820 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 415, 522, 605, 288, 820. So, keep reading to learn more.
Given numbers are 415,522,605,288,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,522,605,288,820 is 17195222880.
Find LCM of 415,522,605,288,820 with Prime Factorization
| 2 | 415, 522, 605, 288, 820 |
| 2 | 415, 261, 605, 144, 410 |
| 3 | 415, 261, 605, 72, 205 |
| 3 | 415, 87, 605, 24, 205 |
| 5 | 415, 29, 605, 8, 205 |
| 83, 29, 121, 8, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 83 x 29 x 121 x 8 x 41 = 17195222880
Therefore, the lowest common multiple of 415,522,605,288,820 is 17195222880.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
415 x 522 x 605 x 288 x 820 = 30951401184000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
415 : 1, 5, 83, 415
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
605 : 1, 5, 11, 55, 121, 605
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,522,605,288,820, is 1.
Now, the common factors can be found like this.
415:5x 83
522:2x 3x 3x 29
605:5x 11x 11
288:2x 2x 2x 2x 2x 3x 3
820:2x 2x 5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 5x 5 = 1800
Therefore, the value for common factors is 1800.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 30951401184000/(1x1800)
LCM = 30951401184000/1800
LCM = 17195222880
Thus, we can understand that the LCM of 415,522,605,288,820 is 17195222880.
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FAQs on LCM of 415, 522, 605, 288, 820
1. What is the LCM of 415, 522, 605, 288, 820?
Answer: LCM of 415, 522, 605, 288, 820 is 17195222880.
2. How to calculate the LCM of 415, 522, 605, 288, 820?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 415, 522, 605, 288, 820.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.